Enrollment is now OPEN
AP Calculus Mastery Course
An 8-months course to help you prepare for AP Calculus Test. This course is designed with understanding over memorization philosophy.
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Enrollment is now open for BC track
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I'm considering opening a separate AP Calculus AB Mastery group based on enrollment interest. If you're interested, please email me at drkoroleva64@gmail.com
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Small group (8 students max)
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Recorded lessons + weekly live sessions + AP-style homework
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Zoom session 90 min once a week: Sundays 10am PST/1pm EST
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Start: September 6, finish: May 8
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We use AP-style problems to practice
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Students will have at least one full-length practice test prior to their exam - to gain the AP Test experience
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Priority enrollment will be given to Summer Intensive Students
Payment Options:
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One payment: Pay $3400 in full by September 5 to save $560 compared to monthly payments
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Two payments: Pay $1850 by September 5, and $1850 by January 5 to save $300 compared to monthly payments
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Monthly payments: Pay $495 by 5th of every month from September to April (no payment in May)
AP Calculus Mastery Course Lessons
1. Limits and continuity
1.1 Defining Limits
1.2 Properties of Limits
1.3 Determining Limits
1.4 Continuity
1.5 Limits and Asymptotes
1.6 Intermediate Value Theorem (IVT)
Progress Check 1
2. Differentiation: Definition and Fundamental Properties
2.1 Average and Instantaneous Rate of Change
2.2 Definition of a Derivative
2.3 Rules for Derivatives
Progress Check 2
3. Differentiation: Composite, Implicit, and Inverse Functions
3.1 The Chain Rule
3.2 Implicit Differentiation
3.3 Differentiating Inverse Functions
3.4 Differentiating Inverse Trig Functions
Progress Check 3
4. Contextual Applications of Differentiation
4.1 Kinematics: line motion, connecting position, velocity and acceleration
4.2 Related Rates
4.3 Local Linearization
4.4 L'Hôpital's Rule
Progress Check 4
5. Analytical Application of Differentiation
5.1 Mean Value Theorem (MVT)
5.2 Extreme Value Theorem (EVT)
5.3 Determining Extrema and Concavity of Functions
5.4 Optimization Problems
Progress Check 5
6. Integration and Accumulation of Change
6.1 Areas and Riemann Sums
6.2 Fundamental Theorem of Calculus
6.3 Finding Antiderivatives
6.4 Integration by U-Substitution
6.5 Integration by Parts
6.6 Partial Fraction Decomposition
6.7 Improper Integrals
Progress Check 6
7. Differential Equations
7.1 Slope Fields
7.2 Euler's Method
7.3 Solving Separable Differential Equations
Progress Check 7
8. Application of Integration
8.1 Average Value of a Function
8.2 Finding Area Between Curves
8.3 Volumes and Cross-Sections
8.4 Volumes of Rotation
8.5 Arc Length
Progress Check 8
9. Parametric Equations, Polar Coordinates, and Vector-Valued Functions
9.1 Defining and Differentiating Parametric Equations
9.2 Arc Length
9.3 Vector-Valued Functions
9.4 Polar Coordinates
9.5 Finding the Area of a Region Bounded by Polar Curves
Progress Check 9
10. Infinite Sequences and Series
10. 1 Convergence and Divergence of Series
10.2 Geometric Series
10.3 Tests for Convergence and Divergence
10.4 Alternating Series Error Bound
10.5 Taylor and Maclaurin Polynomial Approximation
10.6 Lagrange Error Bound
10.7 Radius and Interval of Convergence
10.8 Representing Functions as Power Series
Progress Check 10
AP Practice Test